1 Answers
Option 4 : 81
Given:
Total number of students = 75
Girls are 20% of total students
The average marks of the whole class = 74.6
The average marks of boys = 73
Formula used:
Total marks students = Average marks students × Number of students
Calculation:
The number of girls = (20%) × 75 = 15
⇒ Number of boys = 60
Total marks students = Average marks students × Number of students
⇒ Total marks of all students = 75 × 74.6 = 5595
⇒ Total marks of boys = 73 × 60 = 4380
⇒ Total marks of girls = 15 × Average marks of girls
Total marks of all students = Total marks of boys + Total marks of girls
⇒ 5595 = 4380 + (15 × Average marks of girls)
⇒ 1215 = (15 × Average marks of girls)
⇒ Average marks of girls = 81
∴ The average marks of girls are 81
⇒ x = 74.6 + 4 × 1.6 = 81
∴ The average marks of girls are 81